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The control task of tracking a reference pointing direction (the attitude about the pointing direction is irrelevant) while obtaining a desired angular velocity (PDAV) around the pointing direction using geometric techniques is addressed…

Optimization and Control · Mathematics 2019-01-04 Michalis Ramp , Evangelos Papadopoulos

This work considers a system coupling a viscous Burgers equation (aimed to describe a simplified model of $1D$ fluid flow) with the ODE describing the motion of a point mass moving inside the fluid. The point mass is possibly under the…

Analysis of PDEs · Mathematics 2025-01-22 Marius Tucsnak , Zhuo Xu

We consider third-order dynamic systems which have an integral feedback action and discontinuous relay disturbance. More specifically for the applications, the focus is on the integral plus state-feedback control of the motion systems with…

Optimization and Control · Mathematics 2025-02-18 Michael Ruderman

This paper considers the prescribed performance control (PPC) of spacecraft attitude tracking under multiple physical constraints, focusing on the robust issues. A novel Barrier Lyapunov function is proposed to realize the…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Jiakun Lei , Tao Meng , Weijia Wang , Chengjin Yin , Zhonghe Jin

This paper focuses on the stability analysis of a formation shape displayed by a team of mobile robots that uses heterogeneous sensing mechanism. Depending on the convenience and reliability of the local information, each robot utilizes the…

Systems and Control · Electrical Eng. & Systems 2020-10-22 Nelson P. K. Chan , Bayu Jayawardhana , Hector Garcia de Marina

Achieving versatile and explosive motion with robustness against dynamic uncertainties is a challenging task. Introducing parallel compliance in quadrupedal design is deemed to enhance locomotion performance, which, however, makes the…

Robotics · Computer Science 2025-04-18 Jiatao Ding , Peiyu Yang , Fabio Boekel , Jens Kober , Wei Pan , Matteo Saveriano , Cosimo Della Santina

In this paper, an exponentially stable trajectory tracking controller is proposed for multi-UAV payload transport. The multi-UAV payload system has a 2-DOF magnetic spherical joint between the UAVs and the vertical rigid links of the…

Robotics · Computer Science 2022-07-12 Nishanth Rao , Suresh Sundaram

This paper focuses on the spacecraft attitude control problem with intermittent actuator activation, taking into account the attitude rotation rate limitation and input saturation issue simultaneously. To address this problem, we first…

Systems and Control · Electrical Eng. & Systems 2023-06-01 Jiakun Lei , Tao Meng , Kun Wang , Weijia Wang , Shujian Sun

This paper discusses the design and the performance achievable with active aerodynamic attitude control in very low Earth orbit, i.e. below 450 km in altitude. A novel real-time algorithm is proposed for selecting the angles of deflection…

This paper introduces an advanced Lyapunov stability analysis for an attitude observer that has been developed on the special orthogonal group. In particular, when the attitude observer is constructed based on multiple direction…

Optimization and Control · Mathematics 2019-03-12 Kanishke Gamagedara , Taeyoung Lee , Dong Eui Chang

This paper presents a new prescribed performance control scheme for the attitude tracking of the three degree-of-freedom (3-DOF) helicopter system with lumped disturbances under mechanical constraints. First, a novel prescribed performance…

Systems and Control · Electrical Eng. & Systems 2021-01-28 Xidong Wang

Optical sensors are often mounted on moving platforms to aid in a variety of tasks like data collection, surveillance and navigation. This necessitates the precise control of the inertial orientation of the optical sensor line-of-sight…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Abinash Agasti , Angana Hazarika , Bharath Bhikkaji

This work is devoted to the construction of feedback laws which guarantee the robust global exponential stability of the uncongested equilibrium point for general discrete-time freeway models. The feedback construction is based on a control…

Optimization and Control · Mathematics 2015-03-10 Iasson Karafyllis , Maria Kontorinaki , Markos Papageorgiou

In this work feedback control laws are designed for achieving three-axis attitude stabilization of inertial pointing spacecraft using only magnetic torquers. The designs are based on an almost periodic model of geomagnetic field along the…

Optimization and Control · Mathematics 2015-06-23 Fabio Celani

A safety-critical measure of legged locomotion performance is a robot's ability to track its desired time-varying position trajectory in an environment, which is herein termed as "global-position tracking". This paper introduces a nonlinear…

Robotics · Computer Science 2021-08-10 Yan Gu , Yuan Gao , Bin Yao , C. S. George Lee

Soft robots manufactured with flexible materials can be highly compliant and adaptive to their surroundings, which facilitates their application in areas such as dexterous manipulation and environmental exploration. This paper aims at…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Renjie Ma , Ziyao Qu , Zhijian Hu , Dong Zhao , Marios M. Polycarpou

Continuous time primal-dual gradient dynamics that find a saddle point of a Lagrangian of an optimization problem have been widely used in systems and control. While the global asymptotic stability of such dynamics has been well-studied, it…

Optimization and Control · Mathematics 2019-09-17 Guannan Qu , Na Li

The attitude of a rigid-body in the three dimensional space has a unique and global definition on the Special Orthogonal Group SO (3). This paper gives an overview of the rotation matrix, attitude kinematics and parameterization. The four…

Optimization and Control · Mathematics 2024-10-11 Hashim A. Hashim

This paper applies the recently developed framework for integral control on nonlinear spaces to two non-standard cases. First, we show that the property of perfect target stabilization in presence of actuation bias holds also if this bias…

Optimization and Control · Mathematics 2016-03-18 Zhifei Zhang , Zhihao Ling , Alain Sarlette

Safety in dynamic systems with prevalent uncertainties is crucial. Current robust safe controllers, designed primarily for uni-modal uncertainties, may be either overly conservative or unsafe when handling multi-modal uncertainties. To…

Robotics · Computer Science 2023-10-02 Tianhao Wei , Liqian Ma , Ravi Pandya , Changliu Liu